
Simplifying Radicals with Prime Factorization

Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Hard
Standards-aligned

Emma Peterson
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common challenge students face when simplifying radicals using traditional methods?
Identifying perfect squares
Understanding prime numbers
Memorizing the multiplication table
Using a calculator for division
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the prime factorization tree method preferred by some educators?
It eliminates the need for a calculator
All of the above
It requires less memorization of multiplication tables
It simplifies the process of identifying perfect squares
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in the prime factorization tree method?
Group the prime factors into pairs
Break down the number into its prime factors
Identify all prime numbers
Divide the number by two
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify the square root of 48 using the prime factorization tree method?
3 square root of 4
4 square root of 3
6 square root of 2
2 square root of 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What do you look for in the prime factorization tree when simplifying a square root?
Sets of three prime numbers
Single prime numbers
All even prime numbers
Pairs of prime numbers
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of squaring the simplified form of the square root of 48?
24
12
16
48
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the square root of 72 simplified using the prime factorization tree method?
9 square root of 2
6 square root of 2
4 square root of 6
8 square root of 3
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